Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 2 3y , x

Question

Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 2 3y , x = 0, y = 9; about the y-axis

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Tài Đức 1 month 2022-12-26T14:01:34+00:00 1 Answer 0 views 0

Answer ( 1 )

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    2022-12-26T14:03:18+00:00
    The volume v of the solid obtained by rotating the region bounded by the given curves is 486π.

    How to calculate the volume?

    x = 2✓3y
    x > 0
    y = 9
    Volume = √ 9S0 (2✓3y)2dy
    = π 9S0 4✓(3y) dy
    = π 12 (9²/2
    = 6π (81)
    = 486π
    The volume is 486π.
    Learn more about volume on:
    brainly.com/question/463363
    #SPJ4

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